"What Did You Do Last Summer?" A student panel

Abstract: There are many exciting summer opportunities for students of mathematics. These range from internships in financial companies to pure research experiences, either at Bucknell or at another university. In this week's colloquium, a panel of your peers will tell you about experiences they have had in recent summers. What did they enjoy about their experiences? What did they get out of them? When did they apply? There will also be ample time for questions and answers. These varied opportunities, as well as being terrific fun, are also immensely valuable as you begin to think about your careers after Bucknell. Come and join us for some pizza and lively discussion.

One Thing Leads to Another? The Most Beautiful Equation in Medical Research

Abstract: Physicians often wish to know whether a medical treatment will have a desirable effect on an individual patient, but for various practical reasons, physicians must base decisions on medical research that reports on average effects in groups of patients. Understanding that distinction, and how average effects are measured, is important in interpreting and evaluating the results of clinical research. Perhaps surprisingly, a simple formula learned in high school algebra class, Y = a + bX, can be used as a starting point for representing and investigating a wide variety of clinical research questions, provided that the user understands what each component of the equation represents and appreciates other study design considerations that must be taken into account. In this colloquium, we will explore the utility of this simple equation and how it can be applied to some examples and common pitfalls in medical research.

Abstract: "How to bake better brownies" is the question the team of Li, Li, and Ren answered as they embarked in the 96-hour competition, the 2013 Mathematical Contest in Modeling (MCM). For their efforts Kristina, Li, and Rachel earned Meritorious Winner (only 24 out of 5,636 teams placed above them in this year's MCM competition). Kristina, Li and Rachel will explain the three models they developed for baking brownies which take into account thermodynamic and geometric considerations. Based upon the results of their models, the team will give advice on how to bake a better brownie and they will also share their strategies for success in the MCM competition.

The Art of Double Counting

Peter McNamara, Department of Mathematics, Bucknell University

Abstract: In the world of accounting, double counting can lead to trouble. In the world of combinatorics, however, double counting can lead to great results. We will show off the simplicity and power of double counting using examples that demonstrate the wonder of Pascal's triangle.

Abstract: We prove some sharp lower bounds for the first nontrivial Neumann eigenvalue for the p-Laplace operator in a Lipschitz, bounded domain. Our estimates are asymptotically sharp, at least for n=p=2. In particular we show that equality is achieved along a sequence of rhombi as the acute angle goes to zero. (Joint work with B. Brandolini and C. Trombetti)

Abstract: Math is cool. There is no other way to look at it. It's hard to open a business magazine, walk through an airport or even participate in an executive meeting and not see or hear reference to analytics. Recognized as the currency of business, mathematics or analytics are empowering decision-making at new levels. A trend that started with CIOs is spreading throughout the C-Suite – Everyone wants ANALYTICS!

As a result of this trend, employment opportunities for analytics experts are also prospering. Indeed.com, an online global jobsite, has experienced an increase of over 15,000% in analytics related job postings between 2011 and 2012. McKinsey & Company examined the growing demand for analytics professionals in the U.S. and the shortage of trained people in the field. They predict that demand for deep analytical talent in the U.S. could be 50-60% greater than its supply by 2018. Gartner estimates that only one third of the 4.4 million data scientist roles available worldwide will be filled by 2015. Harvard Business Review calls these jobs The Sexiest Job of the 21st Century!

What exactly are these analytics professionals doing? What types of real-world problems are they solving? Are they actually applying the math, statistics and operations research tools they learned in their courses? What other skills or certifications do they have? Hear from Anne Robinson from Verizon Wireless and Jack Levis from UPS about their own career paths as well as the exciting careers of colleagues they have met along the way!

Are You Interested in the Actuarial Career Path?

Alyssa Ward '12, Cigna

Abstract: Are you interested in the actuarial career path that will allow you to exercise your analytical skills in the business world? Cigna's mission is "to help the people we serve improve their health, well-being and security" and our actuaries work hard to make sure the company is able to meet and exceed the needs of its customers and shareholders.Actuaries use their analytical abilities to help manage Cigna's risk with a strong focus on improving business results. A great way to assess whether the actuarial profession in general and Cigna in particular are a good fit for you is to participate in our actuarial summer internship. Supported by the Mathematics Department and the Career Development Center. Pizza and drinks will be served.

Mathematica 9 in Education and Research

Andy Dorsett, Wolfram Research

Abstract: During this free seminar, we will explore Mathematica's use for a wide variety of practical and theoretical applications across a variety of disciplines. Attendees will not only see new features in Mathematica 9, but will also receive examples of this functionality to begin using immediately. No Mathematica experience is required, and students are encouraged to attend.

Rearrangements and spectral inequalities

Abstract: We will firstly recall the definitions and the basic properties of the rearrangements. Then we will show how they can be used in order to derive some classical spectral inequalities. In the last part of the talk we will describe some recent results concerning the first non-trivial Neumann eigenvalue of the Hermite operator. We will show for instance that, making use of the "Gaussian rearrangement" it is possible to obtain a Szegö-Weinberger type estimate for such an eigenvalue. (Joint works with B. Brandolini, G. di Blasio, A. Henrot and C. Trombetti)

A chance for students to socialize with others interested in mathematics in an informal setting. Donuts, cider, fruit, cookies, tea and soda will be available. Take a break and stay as long as you would like. All are welcome! Hosted by the Bucknell Chapter of the Mathematical Association of America.

Polynomials and Pirate Gold

Paul McGuire, Department of Mathematics, Bucknell University

Abstract: Given a finite number of points in the plane, there are several ways to find a polynomial passing through the given points. We will explore a couple of such methods and illustrate how the analog of one method can be used to solve the following fun puzzle associated with the Chinese Remainder Theorem. Seventeen pirates appropriate a sack of gold coins. The first attempt to divide the spoils leaves three coins leftover. In the ensuing brawl, one pirate gets killed. The next division leaves ten coins. Another argument ensues and yet another pirate gets killed. Now the coins divide evenly. What is the smallest possible number of coins?Pizza, calzones, and drinks will be provided. All are welcome!

Bucknell trio named "Meritorious Winners" at international math competition

More than 5,600 teams from around the world competed in the 2013 Mathematical Contest in Modeling where three Bucknellians placed in the top 16%.

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